Root calculator

Find square, cube and higher real roots.

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Radicand

Root degree

Answer

…

The nth root is a number that raised to n gives the radicand. Compute the magnitude as |radicand|^(1/n), retaining a negative sign for odd roots.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

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Formula and assumptions

The degree is a positive integer. For even roots this returns the nonnegative principal real root; complex roots are outside this tool.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Root calculator

The nth root is a number that raised to n gives the radicand. Compute the magnitude as |radicand|^(1/n), retaining a negative sign for odd roots.

The degree is a positive integer. For even roots this returns the nonnegative principal real root; complex roots are outside this tool.

Next: Basic calculator

A worked example

With radicand = -8, root degree = 3, the real root is -2.

Before you use the result

The degree is a positive integer. For even roots this returns the nonnegative principal real root; complex roots are outside this tool.

Example results for radicand

These examples use Root degree: 3. They are reference calculations, not recommended settings.

Radicand	Real root
-4	-1.58740105197
-8	-2
-16	-2.51984209979

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